pygsti.processors.processorspec

Defines the QubitProcessorSpec class and supporting functionality.

Module Contents

Classes

ProcessorSpec

The API presented by a quantum processor, and possible classical control processors.

QuditProcessorSpec

The device specification for a one or more qudit quantum computer.

QubitProcessorSpec

The device specification for a one or more qudit quantum computer.

class pygsti.processors.processorspec.ProcessorSpec

Bases: pygsti.baseobjs.nicelyserializable.NicelySerializable

The API presented by a quantum processor, and possible classical control processors.

Operation names and ideal actions (e.g. gate names and their unitaries) are stored in a processor specification, as is the availability of the different operations and overall proccesor geometry. Processor specifications do not include any information about how operations are parameterized or can be adjusted (at least not yet).

class pygsti.processors.processorspec.QuditProcessorSpec(qudit_labels, qudit_udims, gate_names, nonstd_gate_unitaries=None, availability=None, geometry=None, prep_names=('rho0',), povm_names=('Mdefault',), instrument_names=(), nonstd_preps=None, nonstd_povms=None, nonstd_instruments=None, aux_info=None)

Bases: ProcessorSpec

The device specification for a one or more qudit quantum computer.

Parameters

num_qubitsint

The number of qubits in the device.

gate_nameslist of strings

The names of gates in the device. This may include standard gate names known by pyGSTi (see below) or names which appear in the nonstd_gate_unitaries argument. The set of standard gate names includes, but is not limited to:

  • ‘Gi’ : the 1Q idle operation

  • ‘Gx’,’Gy’,’Gz’ : 1-qubit pi/2 rotations

  • ‘Gxpi’,’Gypi’,’Gzpi’ : 1-qubit pi rotations

  • ‘Gh’ : Hadamard

  • ‘Gp’ : phase or S-gate (i.e., ((1,0),(0,i)))

  • ‘Gcphase’,’Gcnot’,’Gswap’ : standard 2-qubit gates

Alternative names can be used for all or any of these gates, but then they must be explicitly defined in the nonstd_gate_unitaries dictionary. Including any standard names in nonstd_gate_unitaries overrides the default (builtin) unitary with the one supplied.

nonstd_gate_unitaries: dictionary of numpy arrays

A dictionary with keys that are gate names (strings) and values that are numpy arrays specifying quantum gates in terms of unitary matrices. This is an additional “lookup” database of unitaries - to add a gate to this QubitProcessorSpec its names still needs to appear in the gate_names list. This dictionary’s values specify additional (target) native gates that can be implemented in the device as unitaries acting on ordinary pure-state-vectors, in the standard computationl basis. These unitaries need not, and often should not, be unitaries acting on all of the qubits. E.g., a CNOT gate is specified by a key that is the desired name for CNOT, and a value that is the standard 4 x 4 complex matrix for CNOT. All gate names must start with ‘G’. As an advanced behavior, a unitary-matrix-returning function which takes a single argument - a tuple of label arguments - may be given instead of a single matrix to create an operation factory which allows continuously-parameterized gates. This function must also return an empty/dummy unitary when None is given as it’s argument.

availabilitydict, optional

A dictionary whose keys are some subset of the keys (which are gate names) nonstd_gate_unitaries and the strings (which are gate names) in gate_names and whose values are lists of qubit-label-tuples. Each qubit-label-tuple must have length equal to the number of qubits the corresponding gate acts upon, and causes that gate to be available to act on the specified qubits. Instead of a list of tuples, values of availability may take the special values “all-permutations” and “all-combinations”, which as their names imply, equate to all possible permutations and combinations of the appropriate number of qubit labels (deterined by the gate’s dimension). If a gate name is not present in availability, the default is “all-permutations”. So, the availability of a gate only needs to be specified when it cannot act in every valid way on the qubits (e.g., the device does not have all-to-all connectivity).

geometry{“line”,”ring”,”grid”,”torus”} or QubitGraph, optional

The type of connectivity among the qubits, specifying a graph used to define neighbor relationships. Alternatively, a QubitGraph object with qubit_labels as the node labels may be passed directly. This argument is only used as a convenient way of specifying gate availability (edge connections are used for gates whose availability is unspecified by availability or whose value there is “all-edges”).

qubit_labelslist or tuple, optional

The labels (integers or strings) of the qubits. If None, then the integers starting with zero are used.

aux_infodict, optional

Any additional information that should be attached to this processor spec.

TODO: update this docstring for qudits

property num_qudits

The number of qudits.

property primitive_op_labels

All the primitive operation labels derived from the gate names and availabilities

property idle_gate_names

The gate names that correspond to idle operations.

property global_idle_gate_name

The (first) gate name that corresponds to a global idle operation.

property global_idle_layer_label

Similar to global_idle_gate_name but include the appropriate sslbls (either None or all the qudits)

prep_specifier(name)

The specifier for a given state preparation name.

The returned value specifies a state in one of several ways. It can either be a string identifying a standard state preparation (like “rho0”), or a complex array describing a pure state.

Parameters
namestr

The name of the state preparation to access.

Returns

str or numpy.ndarray

povm_specifier(name)

The specifier for a given POVM name.

The returned value specifies a POVM in one of several ways. It can either be a string identifying a standard POVM (like “Mz”), or a dictionary with values describing the pure states that each element of the POVM projects onto. Each value can be either a string describing a standard state or a complex array.

Parameters
namestr

The name of the POVM to access.

Returns

str or numpy.ndarray

instrument_specifier(name)

The specifier for a given instrument name.

The returned value specifies an instrument in one of several ways. It can either be a string identifying a standard instrument (like “Iz”), or a dictionary with values that are lists/tuples of 2-tuples describing each instrument member as the sum of rank-1 process matrices. Each 2-tuple element can be a string describing a standard state or a complex array describing an arbitrary pure state.

Parameters
namestr

The name of the state preparation to access.

Returns

str or dict

gate_num_qudits(gate_name)

The number of qudits that a given gate acts upon.

Parameters
gate_namestr

The name of the gate.

Returns

int

rename_gate_inplace(existing_gate_name, new_gate_name)

Renames a gate within this processor specification.

Parameters
existing_gate_namestr

The existing gate name you want to change.

new_gate_namestr

The new gate name.

Returns

None

resolved_availability(gate_name, tuple_or_function='auto')

The availability of a given gate, resolved as either a tuple of sslbl-tuples or a function.

This function does more than just access the availability attribute, as this may hold special values like “all-edges”. It takes the value of self.availability[gate_name] and resolves and converts it into the desired format: either a tuple of state-space labels or a function with a single state-space-labels-tuple argument.

Parameters
gate_namestr

The gate name to get the availability of.

tuple_or_function{‘tuple’, ‘function’, ‘auto’}

The type of object to return. ‘tuple’ means a tuple of state space label tuples, e.g. ((0,1), (1,2)). ‘function’ means a function that takes a single state space label tuple argument and returns True or False to indicate whether the gate is available on the given target labels. If ‘auto’ is given, then either a tuple or function is returned - whichever is more computationally convenient.

Returns

tuple or function

is_available(gate_label)

Check whether a gate at a given location is available.

Parameters
gate_labelLabel

The gate name and target labels to check availability of.

Returns

bool

available_gatenames(sslbls)

List all the gate names that are available within a set of state space labels.

This function finds all the gate names that are available for at least a subset of sslbls.

Parameters
sslblstuple

The state space labels to find availability within.

Returns
tuple of strings

A tuple of gate names (strings).

available_gatelabels(gate_name, sslbls)

List all the gate labels that are available for gate_name on at least a subset of sslbls.

Parameters
gate_namestr

The gate name.

sslblstuple

The state space labels to find availability within.

Returns
tuple of Labels

The available gate labels (all with name gate_name).

compute_ops_on_qudits()

Constructs a dictionary mapping tuples of state space labels to the operations available on them.

Returns
dict

A dictionary with keys that are state space label tuples and values that are lists of gate labels, giving the available gates on those target labels.

subset(gate_names_to_include='all', qudit_labels_to_keep='all')

Construct a smaller processor specification by keeping only a select set of gates from this processor spec.

Parameters
gate_names_to_includelist or tuple or set

The gate names that should be included in the returned processor spec.

Returns

QuditProcessorSpec

map_qudit_labels(mapper)

Creates a new QuditProcessorSpec whose qudit labels are updated according to the mapping function mapper.

Parameters
mapperdict or function

A dictionary whose keys are the existing self.qudit_labels values and whose value are the new labels, or a function which takes a single (existing qudit-label) argument and returns a new qudit label.

Returns

QuditProcessorSpec

class pygsti.processors.processorspec.QubitProcessorSpec(num_qubits, gate_names, nonstd_gate_unitaries=None, availability=None, geometry=None, qubit_labels=None, nonstd_gate_symplecticreps=None, prep_names=('rho0',), povm_names=('Mdefault',), instrument_names=(), nonstd_preps=None, nonstd_povms=None, nonstd_instruments=None, aux_info=None)

Bases: QuditProcessorSpec

The device specification for a one or more qudit quantum computer.

Parameters

num_qubitsint

The number of qubits in the device.

gate_nameslist of strings

The names of gates in the device. This may include standard gate names known by pyGSTi (see below) or names which appear in the nonstd_gate_unitaries argument. The set of standard gate names includes, but is not limited to:

  • ‘Gi’ : the 1Q idle operation

  • ‘Gx’,’Gy’,’Gz’ : 1-qubit pi/2 rotations

  • ‘Gxpi’,’Gypi’,’Gzpi’ : 1-qubit pi rotations

  • ‘Gh’ : Hadamard

  • ‘Gp’ : phase or S-gate (i.e., ((1,0),(0,i)))

  • ‘Gcphase’,’Gcnot’,’Gswap’ : standard 2-qubit gates

Alternative names can be used for all or any of these gates, but then they must be explicitly defined in the nonstd_gate_unitaries dictionary. Including any standard names in nonstd_gate_unitaries overrides the default (builtin) unitary with the one supplied.

nonstd_gate_unitaries: dictionary of numpy arrays

A dictionary with keys that are gate names (strings) and values that are numpy arrays specifying quantum gates in terms of unitary matrices. This is an additional “lookup” database of unitaries - to add a gate to this QubitProcessorSpec its names still needs to appear in the gate_names list. This dictionary’s values specify additional (target) native gates that can be implemented in the device as unitaries acting on ordinary pure-state-vectors, in the standard computationl basis. These unitaries need not, and often should not, be unitaries acting on all of the qubits. E.g., a CNOT gate is specified by a key that is the desired name for CNOT, and a value that is the standard 4 x 4 complex matrix for CNOT. All gate names must start with ‘G’. As an advanced behavior, a unitary-matrix-returning function which takes a single argument - a tuple of label arguments - may be given instead of a single matrix to create an operation factory which allows continuously-parameterized gates. This function must also return an empty/dummy unitary when None is given as it’s argument.

availabilitydict, optional

A dictionary whose keys are some subset of the keys (which are gate names) nonstd_gate_unitaries and the strings (which are gate names) in gate_names and whose values are lists of qubit-label-tuples. Each qubit-label-tuple must have length equal to the number of qubits the corresponding gate acts upon, and causes that gate to be available to act on the specified qubits. Instead of a list of tuples, values of availability may take the special values “all-permutations” and “all-combinations”, which as their names imply, equate to all possible permutations and combinations of the appropriate number of qubit labels (deterined by the gate’s dimension). If a gate name is not present in availability, the default is “all-permutations”. So, the availability of a gate only needs to be specified when it cannot act in every valid way on the qubits (e.g., the device does not have all-to-all connectivity).

geometry{“line”,”ring”,”grid”,”torus”} or QubitGraph, optional

The type of connectivity among the qubits, specifying a graph used to define neighbor relationships. Alternatively, a QubitGraph object with qubit_labels as the node labels may be passed directly. This argument is only used as a convenient way of specifying gate availability (edge connections are used for gates whose availability is unspecified by availability or whose value there is “all-edges”).

qubit_labelslist or tuple, optional

The labels (integers or strings) of the qubits. If None, then the integers starting with zero are used.

nonstd_gate_symplecticrepsdict, optional

A dictionary similar to nonstd_gate_unitaries that supplies, instead of a unitary matrix, the symplectic representation of a Clifford operations, given as a 2-tuple of numpy arrays.

aux_infodict, optional

Any additional information that should be attached to this processor spec.

property qubit_labels

The qubit labels.

property qubit_graph

The qubit graph (geometry).

property num_qubits

The number of qudits.

gate_num_qubits(gate_name)

The number of qubits that a given gate acts upon.

Parameters
gate_namestr

The name of the gate.

Returns

int

compute_ops_on_qubits()

Constructs a dictionary mapping tuples of state space labels to the operations available on them.

Returns
dict

A dictionary with keys that are state space label tuples and values that are lists of gate labels, giving the available gates on those target labels.

subset(gate_names_to_include='all', qubit_labels_to_keep='all')

Construct a smaller processor specification by keeping only a select set of gates from this processor spec.

Parameters
gate_names_to_includelist or tuple or set

The gate names that should be included in the returned processor spec.

Returns

QubitProcessorSpec

map_qubit_labels(mapper)

Creates a new QubitProcessorSpec whose qubit labels are updated according to the mapping function mapper.

Parameters
mapperdict or function

A dictionary whose keys are the existing self.qubit_labels values and whose value are the new labels, or a function which takes a single (existing qubit-label) argument and returns a new qubit label.

Returns

QubitProcessorSpec

force_recompute_gate_relationships()

Invalidates LRU caches for all compute_* methods of this object, forcing them to recompute their values.

The compute_* methods of this processor spec compute various relationships and properties of its gates. These routines can be computationally intensive, and so their values are cached for performance. If the gates of a processor spec changes and its compute_* methods are used, force_recompute_gate_relationships should be called.

compute_clifford_symplectic_reps(gatename_filter=None)

Constructs a dictionary of the symplectic representations for all the Clifford gates in this processor spec.

Parameters
gatename_filteriterable, optional

A list, tuple, or set of gate names whose symplectic representations should be returned (if they exist).

Returns
dict

keys are gate names, values are (symplectic_matrix, phase_vector) tuples.

compute_one_qubit_gate_relations()

Computes the basic pair-wise relationships relationships between the gates.

1. It multiplies all possible combinations of two 1-qubit gates together, from the full model available to in this device. If the two gates multiple to another 1-qubit gate from this set of gates this is recorded in the dictionary self.oneQgate_relations. If the 1-qubit gate with name name1 followed by the 1-qubit gate with name name2 multiple (up to phase) to the gate with name3, then self.oneQgate_relations[name1,`name2`] = name3.

2. If the inverse of any 1-qubit gate is contained in the model, this is recorded in the dictionary self.gate_inverse.

Returns
gate_relationsdict

Keys are (gatename1, gatename2) and values are either the gate name of the product of the two gates or None, signifying the identity.

gate_inversesdict

Keys and values are gate names, mapping a gate name to its inverse gate (if one exists).

compute_multiqubit_inversion_relations()

Computes the inverses of multi-qubit (>1 qubit) gates.

Finds whether any of the multi-qubit gates in this device also have their inverse in the model. That is, if the unitaries for the multi-qubit gate with name name1 followed by the multi-qubit gate (of the same dimension) with name name2 multiple (up to phase) to the identity, then gate_inverse[name1] = name2 and gate_inverse[name2] = name1

1-qubit gates are not computed by this method, as they are be computed by the method compute_one_qubit_gate_relations().

Returns
gate_inversedict

Keys and values are gate names, mapping a gate name to its inverse gate (if one exists).

compute_clifford_ops_on_qubits()

Constructs a dictionary mapping tuples of state space labels to the clifford operations available on them.

Returns
dict

A dictionary with keys that are state space label tuples and values that are lists of gate labels, giving the available Clifford gates on those target labels.

compute_clifford_2Q_connectivity()

Constructs a graph encoding the connectivity between qubits via 2-qubit Clifford gates.

Returns
QubitGraph

A graph with nodes equal to the qubit labels and edges present whenever there is a 2-qubit Clifford gate between the vertex qubits.

compute_2Q_connectivity()

Constructs a graph encoding the connectivity between qubits via 2-qubit gates.

Returns
QubitGraph

A graph with nodes equal to the qubit labels and edges present whenever there is a 2-qubit gate between the vertex qubits.